Structure and Instability of High-Density Equations for Traffic Flow

Abstract

Similar to the treatment of dense gases, fluid-dynamic equations for the dynamics of congested vehicular traffic are derived from Enskog-like kinetic equations. These contain additional terms due to the anisotropic vehicle interactions. The calculations are carried out up to Navier-Stokes order. A linear instability analysis indicates an additional kind of instability compared to previous macroscopic traffic models. The relevance for describing granular flows is outlined.

For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html

References in corpus (5)

• Gas-kinetic derivation of Navier-Stokes-like traffic equations
• Fundamentals of Traffic Flow
• Derivation and Empirical Validation of a Refined Traffic Flow Model
• Modeling and Simulation of Multi-Lane Traffic Flow
• Empirical Traffic Data and Their Implications for Traffic Modeling

Cited by in corpus (7)

• Traffic and Related Self-Driven Many-Particle Systems
• Derivation, Properties, and Simulation of a Gas-Kinetic-Based, Non-Local Traffic Model
• Macroscopic Dynamics of Multi-Lane Traffic
• Traffic optimization in transport networks based on local routing
• Effects of Prediction Feedback in Multi-Route Intelligent Traffic Systems
• Prediction feedback in intelligent traffic systems
• From Microscopic to Macroscopic Traffic Models